2.461 Найдите частное: a) 5:2; 4 15' б) 2:8; 9 3' в) 64:32; 131 52; г) 64:4; 125 д) 9:3; 4 e) 9:4; 3 ж) 1:1; 7 14' з) 2:1; 3 9' и) 3:5; 8 15' к) 4:19.

• a) $$\frac{5}{4} : \frac{2}{15} = \frac{5}{4} \cdot \frac{15}{2} = \frac{75}{8} = 9\frac{3}{8}$$
• б) $$\frac{2}{9} : \frac{8}{3} = \frac{2}{9} \cdot \frac{3}{8} = \frac{6}{72} = \frac{1}{12}$$
• в) $$\frac{64}{131} : \frac{32}{52} = \frac{64}{131} \cdot \frac{52}{32} = \frac{2 \cdot 52}{131} = \frac{104}{131}$$
• г) $$\frac{64}{125} : 4 = \frac{64}{125} \cdot \frac{1}{4} = \frac{16}{125}$$
• д) $$9 : \frac{3}{4} = 9 \cdot \frac{4}{3} = \frac{36}{3} = 12$$
• e) $$9 : 4\frac{3}{4} = 9 : \frac{19}{4} = 9 \cdot \frac{4}{19} = \frac{36}{19} = 1\frac{17}{19}$$
• ж) $$1\frac{3}{7} : 1\frac{1}{14} = \frac{10}{7} : \frac{15}{14} = \frac{10}{7} \cdot \frac{14}{15} = \frac{2 \cdot 2}{3} = \frac{4}{3} = 1\frac{1}{3}$$
• з) $$2\frac{1}{3} : \frac{1}{9} = \frac{7}{3} : \frac{1}{9} = \frac{7}{3} \cdot 9 = 7 \cdot 3 = 21$$
• и) $$3\frac{8}{19} : \frac{5}{15} = \frac{65}{19} : \frac{1}{3} = \frac{65}{19} \cdot 3 = \frac{195}{19} = 10\frac{5}{19}$$
• к) $$4\frac{17}{36} : 19\frac{1}{6} = \frac{161}{36} : \frac{115}{6} = \frac{161}{36} \cdot \frac{6}{115} = \frac{161}{6} \cdot \frac{1}{115} = \frac{161}{690}$$

Ответ: a) $$9\frac{3}{8}$$; б) $$\frac{1}{12}$$; в) $$\frac{104}{131}$$; г) $$\frac{16}{125}$$; д) 12; e) $$1\frac{17}{19}$$; ж) $$1\frac{1}{3}$$; з) 21; и) $$10\frac{5}{19}$$; к) $$\frac{161}{690}$$.